﻿ The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is : Kaysons Education

# The Number Of Ways Of Arranging Letters Of The Word HAVANA So That V And N Do Not Appear Together Is

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## Question

### Solution

Correct option is

80

We can arrange the letters H, A, A, A in

If one possible arrangement is

X X X X

Then we can arrange V, N at any of the two places marked with O in the following arrangement.

O X O X O X O X O

This, we can arrange V and N in = 5P2 = 20 ways

Thus, the number of ways in which letters can be arranged is

4 × 20 = 80.

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